is 2 722417 - 1
has 217470 decimal digits
takes 0.014 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LFED49C5D4E2C053Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26741.131370.1493 %165000036182315405.754011.2153 %46.885373.4971 %
Target2440.000054.5455 %1200022500000.003916.5595 %0.003962.0725 %
Difference+23+41.1313+15.6038 %+1638000+3615981540+5.7502-5.3442 %+46.8814+11.4246 %

Known prime factors (1 factor, 72.9 bits, 0.01009017% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
72241787701641533020417315292272.8936070015069760292
22 × 3 × 7 × 137 × 527460468349
2008-06-301375274604683491,323.8832.231,554.4

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-02ANONYMOUSv4_computers2000200000--0.00011.737%
2002-01-28ANONYMOUSv4_computers4096409600--0.00114.639%
2002-03-16ANONYMOUSv4_computers8192819200--0.00217.422%
2002-05-11ANONYMOUSv4_computers163841638400--0.00320.171%
2002-07-14ANONYMOUSv4_computers32768327680012--0.00622.878%
2002-11-16ANONYMOUSv4_computers65537655370012--0.01225.535%
2003-06-17ANONYMOUSv4_computers1310721310720012--0.02428.135%
2016-03-17alpertronManual testing5000001500000012---29.483%
2023-01-03USAFSS6917th_Scty_Sq16500003618231540--5.75445.218%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-12-23ANONYMOUSv4_computers2532540.002
2000-05-24ANONYMOUSv4_computers212550.007
2000-05-31ANONYMOUSv4_computers212550.007
2001-04-01ANONYMOUSv4_computers212560.013
2001-10-20ANONYMOUSv4_computers212570.027
2003-09-21ANONYMOUSv4_computers212580.053


ECM factoring results:
Total ECM effort:11.314 GHz-days
Estimated T-Level:25.655
DigitsB1CompleteFacMiss
201100014.7310.000%
25500001.61319.937%
302500000.13187.717%
3510000000.00999.131%


ECM Summary

B1B2factorcurvesGHz-days
10.038
5000050000002796.300
25000025000000444.976


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2003-03-27ANONYMOUSv4_computersFED49C5D4E2C053C0.014


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-3
8770164153302041731529
233A3FC9B9DC7A76
2017-09-28Oliver KruseManual testing
8770164153302041731529
233A3FC9B9DC7A76
2017-11-09kkmrkkblmbrbkc4.large
8770164153302041731529
233A3FC9B9DC7A76
2020-04-20Oliver KruseAddPrpType5
8770164153302041731529
0C5A64735E9DA8F7


CERT results:
No CERT results for M722417


P-1 factor-bounds graph:
B1 = 1650000, B2 = 3618231540 (P-1 stage 2)
B1 = 1650000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65537 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
258
257
256
255
254
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
250
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Last modified: 2024-02-09T03:30:02+00:00